A complete and practical solution book for the common school teacher . FIG. 22. ft. .*. The fly moves ft. PROBLEM 325. Given the area, a = 600, and the hypothenuse h = f>0: to find theother sides of the right-angled triangle by geometrical construction. First Solution. (1) Let ABC be the triangle; from B draw BD per-pendicular to thehypothenuse AC, BOthe radius of the cir-cumscribing circle. (2) Divide twice the area of the triangle by thehypothenuse = BD, or(600 X 2) -r- 50= FIG. 23. (3) OD=VBOa—BD*=7; DC = OC—OD, or 18. (4) BC = VBD*+DCa=30. (5) AB=VACa—BC»=40. ABC i
A complete and practical solution book for the common school teacher . FIG. 22. ft. .*. The fly moves ft. PROBLEM 325. Given the area, a = 600, and the hypothenuse h = f>0: to find theother sides of the right-angled triangle by geometrical construction. First Solution. (1) Let ABC be the triangle; from B draw BD per-pendicular to thehypothenuse AC, BOthe radius of the cir-cumscribing circle. (2) Divide twice the area of the triangle by thehypothenuse = BD, or(600 X 2) -r- 50= FIG. 23. (3) OD=VBOa—BD*=7; DC = OC—OD, or 18. (4) BC = VBD*+DCa=30. (5) AB=VACa—BC»=40. ABC is a 30, 40 and 50 triancle. 152 FAIR CHILDS SOLUTION BOOK.
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Keywords: ., bookcentury1800, bookdecade1890, booksubject, booksubjectgeometry
